Find the solution set of the inequality 12-6x>24

Mathematics · College · Mon Jan 18 2021

Answered on

Given the inequality:

12 - 6x > 24

Determine the solution set of the inequality.

Solution:

In order to determine the solution of the inequality, we simply needed to transpose -6x and 24 to the opposite sides of the equation, hence it must be taken to note that in transposing a number, the sign changes.

12 - 6x > 24

12 - 24 > 6x

-12 > 6x

Divide both sides by 6 in order to determine the value of x.

-12/6 > 6x/6

-2 > x

Final answer:

-2 > x